In this paper well-conditioning of boundary value problems for systems of second order difference equa-tions is studied.First,a sufficient condition for the existence of a unique bounded solution (for large enough num...In this paper well-conditioning of boundary value problems for systems of second order difference equa-tions is studied.First,a sufficient condition for the existence of a unique bounded solution (for large enough number of steps) of an associated homogeneous system is given.Finally,a sufficient condition for well-condi-tioning,intrinsically related to the problem data is proposed.展开更多
The main aim of this paper is to propose a kernel-based method for solving the problem of squeezing Cu–Water nanofluid flow between parallel disks.Our method is based on Gaussian Hilbert–Schmidt SVD(HS-SVD),which gi...The main aim of this paper is to propose a kernel-based method for solving the problem of squeezing Cu–Water nanofluid flow between parallel disks.Our method is based on Gaussian Hilbert–Schmidt SVD(HS-SVD),which gives an alternate basis for the data-dependent subspace of“native”Hilbert space without ever forming kernel matrix.The well-conditioning linear system is one of the critical advantages of using the alternate basis obtained from HS-SVD.Numerical simulations are performed to illustrate the efficiency and applicability of the proposed method in the sense of accuracy.Numerical results obtained by the proposed method are assessed by comparing available results in references.The results demonstrate that the proposed method can be recommended as a good option to study the squeezing nanofluid flow in engineering problems.展开更多
基金This work has been partially supported by the "Generalitat Valenciana" grant GV1118/93the Spanish D. G. I. C. Y.T. grant PB93-0381
文摘In this paper well-conditioning of boundary value problems for systems of second order difference equa-tions is studied.First,a sufficient condition for the existence of a unique bounded solution (for large enough number of steps) of an associated homogeneous system is given.Finally,a sufficient condition for well-condi-tioning,intrinsically related to the problem data is proposed.
文摘The main aim of this paper is to propose a kernel-based method for solving the problem of squeezing Cu–Water nanofluid flow between parallel disks.Our method is based on Gaussian Hilbert–Schmidt SVD(HS-SVD),which gives an alternate basis for the data-dependent subspace of“native”Hilbert space without ever forming kernel matrix.The well-conditioning linear system is one of the critical advantages of using the alternate basis obtained from HS-SVD.Numerical simulations are performed to illustrate the efficiency and applicability of the proposed method in the sense of accuracy.Numerical results obtained by the proposed method are assessed by comparing available results in references.The results demonstrate that the proposed method can be recommended as a good option to study the squeezing nanofluid flow in engineering problems.
